Question

All resistance shown in circuit are $2\Omega$ each. The current in the resistance between $D$ and $E$ is

• A. $5A$
• B. $2.5A$
• C. $1A$
• D. $7.5A$

Answer 1

The correct option is B $2.5A$

Applying Wheatstone bridge principle,

$R_{eq}=(4\Omega \parallel 4\Omega )\parallel 2\Omega$

$=1\Omega$

Total current $,I=\frac{10v}{1\Omega }=10A$

Current through $DG=I_1=\frac{10v}{2\Omega }=5A$

Current through $DCG$=Current through $DEG$

$=\frac{5}{2}A$

Current through $DEG=\frac{5}{2}A=2.5A$